Magma V2.19-8 Wed Aug 21 2013 01:02:34 on localhost [Seed = 930163918] Type ? for help. Type -D to quit. Loading file "L14n15080__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15080 geometric_solution 12.53400854 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -3 0 3 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801472974572 1.207024954822 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 -1 1 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 3 0 -3 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670721302201 0.742816742115 7 0 6 8 0132 0132 0132 0132 1 1 0 1 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 4 -3 0 0 -4 4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393062051274 0.694314213508 7 9 8 0 2031 0132 2031 0132 1 1 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 3 -3 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584697543545 1.047232718543 10 11 0 5 0132 0132 0132 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542720144523 0.482992865856 12 1 9 4 0132 0132 1023 1023 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551939749472 0.405029854524 10 11 1 2 3120 0321 0132 0132 1 1 1 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 -4 0 0 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630332700438 0.798981940514 2 10 3 1 0132 1230 1302 0132 1 1 1 0 0 -1 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584697543545 1.047232718543 11 12 2 3 0321 1302 0132 1302 1 1 1 0 0 0 -1 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 4 0 -4 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382531301697 1.090711484964 11 3 5 12 2031 0132 1023 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670721302201 0.742816742115 4 12 7 6 0132 2103 3012 3120 0 1 1 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.033664826579 1.091788170734 8 4 9 6 0321 0132 1302 0321 1 0 1 1 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391389493759 0.771447844854 5 10 9 8 0132 2103 0132 2031 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801472974572 1.207024954822 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1010_8'], 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1010_8']), 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0101_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1010_8']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_5, c_0101_9, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 420336687497260702247662279/13451627921176932933235075*c_1010_8^11 + 2598047752488220406403839/71933839150678785739225*c_1010_8^10 - 25213334719729147908740234128/13451627921176932933235075*c_1010_8^9 + 22365067622759780794339125674/13451627921176932933235075*c_1010_8\ ^8 - 2946712990668348727399826823/244575053112307871513365*c_1010_8\ ^7 + 150842803336731580973637406281/13451627921176932933235075*c_10\ 10_8^6 - 530258040813562198367079114537/13451627921176932933235075*\ c_1010_8^5 + 153074255375474846405844923178/26903255842353865866470\ 15*c_1010_8^4 - 3385062874833919037297653913/6086709466595897254857\ 5*c_1010_8^3 + 17796357537915618533518514793/7912722306574666431314\ 75*c_1010_8^2 - 6427172115609403657138569299/1222875265561539357566\ 825*c_1010_8 + 16025737494308849923296065816/1345162792117693293323\ 5075, c_0011_0 - 1, c_0011_10 + 144186498809350800/3628440814662233833*c_1010_8^11 - 134993032507840581/3628440814662233833*c_1010_8^10 + 8633265338653108321/3628440814662233833*c_1010_8^9 - 5783452620233177001/3628440814662233833*c_1010_8^8 + 55166726930387453864/3628440814662233833*c_1010_8^7 - 39850220111316441193/3628440814662233833*c_1010_8^6 + 178607892855603518155/3628440814662233833*c_1010_8^5 - 225118524107620866577/3628440814662233833*c_1010_8^4 + 224265573866822690651/3628440814662233833*c_1010_8^3 - 70412149442406568222/3628440814662233833*c_1010_8^2 + 24684792167979774824/3628440814662233833*c_1010_8 - 2971781883402776636/3628440814662233833, c_0011_3 + 3089760611436824970/25399085702635636831*c_1010_8^11 - 2482136492365664208/25399085702635636831*c_1010_8^10 + 184523243178729169920/25399085702635636831*c_1010_8^9 - 99407299762940846552/25399085702635636831*c_1010_8^8 + 165718117877227953331/3628440814662233833*c_1010_8^7 - 701849307617819959118/25399085702635636831*c_1010_8^6 + 524743331730698069568/3628440814662233833*c_1010_8^5 - 4343463976921884482258/25399085702635636831*c_1010_8^4 + 577166981874578934289/3628440814662233833*c_1010_8^3 - 876700121754782645576/25399085702635636831*c_1010_8^2 + 286336353165068644665/25399085702635636831*c_1010_8 + 641332381361234744/25399085702635636831, c_0011_6 - 2610439736967367/25399085702635636831*c_1010_8^11 - 567892360236426601/25399085702635636831*c_1010_8^10 + 207922548089306385/25399085702635636831*c_1010_8^9 - 33900517894703840327/25399085702635636831*c_1010_8^8 + 1677838134534680432/3628440814662233833*c_1010_8^7 - 211562936742254279359/25399085702635636831*c_1010_8^6 + 13013005165908578524/3628440814662233833*c_1010_8^5 - 660388411645845644743/25399085702635636831*c_1010_8^4 + 98502024202106672769/3628440814662233833*c_1010_8^3 - 642206717895239710932/25399085702635636831*c_1010_8^2 + 61331775481553281210/25399085702635636831*c_1010_8 - 50727509353362766977/25399085702635636831, c_0101_0 + 168696951453561322/25399085702635636831*c_1010_8^11 - 1013517386844080367/25399085702635636831*c_1010_8^10 + 10760302950588189224/25399085702635636831*c_1010_8^9 - 57856340064750625777/25399085702635636831*c_1010_8^8 + 12915330205509829855/3628440814662233833*c_1010_8^7 - 367926952937547642593/25399085702635636831*c_1010_8^6 + 56098905191396143027/3628440814662233833*c_1010_8^5 - 1280706699375184790922/25399085702635636831*c_1010_8^4 + 205073728283673373627/3628440814662233833*c_1010_8^3 - 1179210390023578954255/25399085702635636831*c_1010_8^2 + 267059717470279292107/25399085702635636831*c_1010_8 - 79679148004478851011/25399085702635636831, c_0101_1 - 1, c_0101_10 + 44942627184026494/3628440814662233833*c_1010_8^11 - 27446749811134086/3628440814662233833*c_1010_8^10 + 2676450208561952015/3628440814662233833*c_1010_8^9 - 920552141761832413/3628440814662233833*c_1010_8^8 + 16553873886495015415/3628440814662233833*c_1010_8^7 - 6472289080660665325/3628440814662233833*c_1010_8^6 + 51074238393852817013/3628440814662233833*c_1010_8^5 - 49970487317520357847/3628440814662233833*c_1010_8^4 + 44266204317671720170/3628440814662233833*c_1010_8^3 + 6559585291200331036/3628440814662233833*c_1010_8^2 - 8861404407922409772/3628440814662233833*c_1010_8 + 5664479276333916904/3628440814662233833, c_0101_12 - 164299677578692083/3628440814662233833*c_1010_8^11 + 154985135336348438/3628440814662233833*c_1010_8^10 - 9838532626516434273/3628440814662233833*c_1010_8^9 + 6653482598213203723/3628440814662233833*c_1010_8^8 - 62899675842263952941/3628440814662233833*c_1010_8^7 + 45483057303369918349/3628440814662233833*c_1010_8^6 - 203745455255581358736/3628440814662233833*c_1010_8^5 + 255722112968192691265/3628440814662233833*c_1010_8^4 - 256463250794414317101/3628440814662233833*c_1010_8^3 + 75599128104052779855/3628440814662233833*c_1010_8^2 - 21893576138848730673/3628440814662233833*c_1010_8 - 341603888049313008/3628440814662233833, c_0101_3 - 266082978704239451/3628440814662233833*c_1010_8^11 + 225646381849060687/3628440814662233833*c_1010_8^10 - 15906819167306717178/3628440814662233833*c_1010_8^9 + 9267718301858907328/3628440814662233833*c_1010_8^8 - 100667627079872333542/3628440814662233833*c_1010_8^7 + 64622526666106519998/3628440814662233833*c_1010_8^6 - 321317741668106174169/3628440814662233833*c_1010_8^5 + 386891699948333554614/3628440814662233833*c_1010_8^4 - 371386814882883142582/3628440814662233833*c_1010_8^3 + 92067162145998036216/3628440814662233833*c_1010_8^2 - 27638802096950619261/3628440814662233833*c_1010_8 - 595978285466121732/3628440814662233833, c_0101_5 + 563680465057801834/25399085702635636831*c_1010_8^11 - 225389269880068802/25399085702635636831*c_1010_8^10 + 33462180010409352274/25399085702635636831*c_1010_8^9 - 4504476847875067617/25399085702635636831*c_1010_8^8 + 29031153534644784187/3628440814662233833*c_1010_8^7 - 40088377738194966827/25399085702635636831*c_1010_8^6 + 87578363748590172929/3628440814662233833*c_1010_8^5 - 505357317039083059757/25399085702635636831*c_1010_8^4 + 58036381146893025923/3628440814662233833*c_1010_8^3 + 199824809792584899478/25399085702635636831*c_1010_8^2 - 28264194984202657260/25399085702635636831*c_1010_8 + 31663869866836468834/25399085702635636831, c_0101_9 + 377210781661910307/25399085702635636831*c_1010_8^11 - 1051551470895887265/25399085702635636831*c_1010_8^10 + 23149491899892090647/25399085702635636831*c_1010_8^9 - 56890172590654299070/25399085702635636831*c_1010_8^8 + 23847439945523023054/3628440814662233833*c_1010_8^7 - 369455929088075024290/25399085702635636831*c_1010_8^6 + 89263953088074037042/3628440814662233833*c_1010_8^5 - 1437662920766274961238/25399085702635636831*c_1010_8^4 + 222809520690410767258/3628440814662233833*c_1010_8^3 - 1151088285715741035673/25399085702635636831*c_1010_8^2 + 280075478529184029479/25399085702635636831*c_1010_8 - 80618386387233854298/25399085702635636831, c_1001_2 - 123830795071019908/3628440814662233833*c_1010_8^11 + 113063930524792145/3628440814662233833*c_1010_8^10 - 7417933136072707813/3628440814662233833*c_1010_8^9 + 4801638919502570225/3628440814662233833*c_1010_8^8 - 47623635025988373764/3628440814662233833*c_1010_8^7 + 33415575491431139716/3628440814662233833*c_1010_8^6 - 154421960487837999836/3628440814662233833*c_1010_8^5 + 191595862550681047947/3628440814662233833*c_1010_8^4 - 193120988692670051471/3628440814662233833*c_1010_8^3 + 67001544314436375432/3628440814662233833*c_1010_8^2 - 22787591026199481529/3628440814662233833*c_1010_8 + 1230349413405755442/3628440814662233833, c_1010_8^12 - c_1010_8^11 + 60*c_1010_8^10 - 44*c_1010_8^9 + 389*c_1010_8^8 - 304*c_1010_8^7 + 1279*c_1010_8^6 - 1662*c_1010_8^5 + 1727*c_1010_8^4 - 697*c_1010_8^3 + 292*c_1010_8^2 - 48*c_1010_8 + 11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB